127776000 has 288 divisors, whose sum is σ = 466816896. Its totient is φ = 30976000.

The previous prime is 127775987. The next prime is 127776037. The reversal of 127776000 is 677721.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11615995 + ... + 11616005.

It is an arithmetic number, because the mean of its divisors is an integer number (1620892).

Almost surely, 2^127776000 is an apocalyptic number.

127776000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127776000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233408448).

127776000 is an abundant number, since it is smaller than the sum of its proper divisors (339040896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

127776000 is an frugal number, since it uses more digits than its factorization.

127776000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 127776000 is about 11303.8046692253. The cubic root of 127776000 is about 503.6742667235.

It can be divided in two parts, 1277 and 76000, that added together give a palindrome (77277).

The spelling of 127776000 in words is "one hundred twenty-seven million, seven hundred seventy-six thousand".